Odpowiedź:
√8(√18 - √50) = √8[√(9 * 2) - √(25 * 2)]= √8(3√2- 5√2) = √8 * (-2√2) =
= √(4 * 2) * (-2√2) = 2√2 * (- 2√2) = 2 * (- 2) * 2 = - 8
Odp: B
Szczegółowe wyjaśnienie:
[tex]\sqrt{8}(\sqrt{18}-\sqrt{50}) =\\\\= \sqrt{4\cdot2}(\sqrt{9\cdot2}-\sqrt{25\cdot2}) =\\\\=\sqrt{4}\cdot\sqrt{2}(\sqrt{9}\cdot\sqrt{2} - \sqrt{25}\cdot\sqrt{2})=\\\\=2\sqrt{2}(3\sqrt{2}-5\sqrt{2})=\\\\=2\sqrt{2}\cdot(-2\sqrt{2})=\\\\=-4\cdot2 = \boxed{-8 }[/tex]
